We investigate the dynamics of a one-dimensional oscillator made of a mass connected to a circular spring under uniaxial extension. The functional dependence of the elastic energy on the strain is obtained by solving the differential equations resulting from a variational formalism common to Euler's elastica problem. The calculated nonlinear force agrees with the experiment, confirming the anharmonic nature of the oscillator.
Titolo: | Anharmonic dynamics of a mass O-spring oscillator. |
Autori: | |
Data di pubblicazione: | 2011 |
Rivista: | |
Abstract: | We investigate the dynamics of a one-dimensional oscillator made of a mass connected to a circular spring under uniaxial extension. The functional dependence of the elastic energy on the strain is obtained by solving the differential equations resulting from a variational formalism common to Euler's elastica problem. The calculated nonlinear force agrees with the experiment, confirming the anharmonic nature of the oscillator. |
Handle: | http://hdl.handle.net/11697/12848 |
Appare nelle tipologie: | 1.1 Articolo in rivista |
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